FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2005164125> ?p ?o ?g. }

• W2005164125 endingPage "663" @default.
• W2005164125 startingPage "648" @default.
• W2005164125 abstract "Approximating complex curves with simple parametric curves is widely used in CAGD, CG, and CNC. This paper presents an algorithm to compute a certified approximation to a given parametric space curve with cubic B-spline curves. By certified, we mean that the approximation can approximate the given curve to any given precision and preserve the geometric features of the given curve such as the topology, singular points, etc. The approximated curve is divided into segments called quasi-cubic Bézier curve segments which have properties similar to a cubic rational Bézier curve. And the approximate curve is naturally constructed as the associated cubic rational Bézier curve of the control tetrahedron of a quasi-cubic curve. A novel optimization method is proposed to select proper weights in the cubic rational Bézier curve to approximate the given curve. The error of the approximation is controlled by the size of its tetrahedron, which converges to zero by subdividing the curve segments. As an application, approximate implicit equations of the approximated curves can be computed. Experiments show that the method can approximate space curves of high degrees with high precision and very few cubic Bézier curve segments." @default.
• W2005164125 created "2016-06-24" @default.
• W2005164125 creator A5005979404 @default.
• W2005164125 creator A5017479931 @default.
• W2005164125 creator A5026950579 @default.
• W2005164125 date "2012-11-01" @default.
• W2005164125 modified "2023-09-27" @default.
• W2005164125 title "Certified approximation of parametric space curves with cubic B-spline curves" @default.
• W2005164125 cites W1494338281 @default.
• W2005164125 cites W1828410341 @default.
• W2005164125 cites W1964839258 @default.
• W2005164125 cites W1970663370 @default.
• W2005164125 cites W1986084578 @default.
• W2005164125 cites W1988234398 @default.
• W2005164125 cites W2007781518 @default.
• W2005164125 cites W2018251585 @default.
• W2005164125 cites W2024818949 @default.
• W2005164125 cites W2032353567 @default.
• W2005164125 cites W2035367000 @default.
• W2005164125 cites W2040821520 @default.
• W2005164125 cites W2041146807 @default.
• W2005164125 cites W2041908466 @default.
• W2005164125 cites W2053314097 @default.
• W2005164125 cites W2059860265 @default.
• W2005164125 cites W2064686575 @default.
• W2005164125 cites W2075403115 @default.
• W2005164125 cites W2077961479 @default.
• W2005164125 cites W2082405142 @default.
• W2005164125 cites W2088577671 @default.
• W2005164125 cites W2090459152 @default.
• W2005164125 cites W2092792105 @default.
• W2005164125 cites W2101561222 @default.
• W2005164125 cites W2102884807 @default.
• W2005164125 cites W2107277826 @default.
• W2005164125 cites W2139415633 @default.
• W2005164125 cites W2141553359 @default.
• W2005164125 cites W2142178245 @default.
• W2005164125 cites W2149407401 @default.
• W2005164125 cites W2156268456 @default.
• W2005164125 cites W3098284236 @default.
• W2005164125 doi "https://doi.org/10.1016/j.cagd.2012.06.001" @default.
• W2005164125 hasPublicationYear "2012" @default.
• W2005164125 type Work @default.
• W2005164125 sameAs 2005164125 @default.
• W2005164125 citedByCount "15" @default.
• W2005164125 countsByYear W20051641252013 @default.
• W2005164125 countsByYear W20051641252014 @default.
• W2005164125 countsByYear W20051641252015 @default.
• W2005164125 countsByYear W20051641252016 @default.
• W2005164125 countsByYear W20051641252018 @default.
• W2005164125 countsByYear W20051641252019 @default.
• W2005164125 countsByYear W20051641252020 @default.
• W2005164125 countsByYear W20051641252022 @default.
• W2005164125 countsByYear W20051641252023 @default.
• W2005164125 crossrefType "journal-article" @default.
• W2005164125 hasAuthorship W2005164125A5005979404 @default.
• W2005164125 hasAuthorship W2005164125A5017479931 @default.
• W2005164125 hasAuthorship W2005164125A5026950579 @default.
• W2005164125 hasBestOaLocation W20051641252 @default.
• W2005164125 hasConcept C105239961 @default.
• W2005164125 hasConcept C105795698 @default.
• W2005164125 hasConcept C117251300 @default.
• W2005164125 hasConcept C121444067 @default.
• W2005164125 hasConcept C134306372 @default.
• W2005164125 hasConcept C15945459 @default.
• W2005164125 hasConcept C179603306 @default.
• W2005164125 hasConcept C184363387 @default.
• W2005164125 hasConcept C184389593 @default.
• W2005164125 hasConcept C197875053 @default.
• W2005164125 hasConcept C206423108 @default.
• W2005164125 hasConcept C2524010 @default.
• W2005164125 hasConcept C25971838 @default.
• W2005164125 hasConcept C33923547 @default.
• W2005164125 hasConcept C37055786 @default.
• W2005164125 hasConcept C40319758 @default.
• W2005164125 hasConcept C53622353 @default.
• W2005164125 hasConcept C9376300 @default.
• W2005164125 hasConcept C99636146 @default.
• W2005164125 hasConceptScore W2005164125C105239961 @default.
• W2005164125 hasConceptScore W2005164125C105795698 @default.
• W2005164125 hasConceptScore W2005164125C117251300 @default.
• W2005164125 hasConceptScore W2005164125C121444067 @default.
• W2005164125 hasConceptScore W2005164125C134306372 @default.
• W2005164125 hasConceptScore W2005164125C15945459 @default.
• W2005164125 hasConceptScore W2005164125C179603306 @default.
• W2005164125 hasConceptScore W2005164125C184363387 @default.
• W2005164125 hasConceptScore W2005164125C184389593 @default.
• W2005164125 hasConceptScore W2005164125C197875053 @default.
• W2005164125 hasConceptScore W2005164125C206423108 @default.
• W2005164125 hasConceptScore W2005164125C2524010 @default.
• W2005164125 hasConceptScore W2005164125C25971838 @default.
• W2005164125 hasConceptScore W2005164125C33923547 @default.
• W2005164125 hasConceptScore W2005164125C37055786 @default.
• W2005164125 hasConceptScore W2005164125C40319758 @default.
• W2005164125 hasConceptScore W2005164125C53622353 @default.
• W2005164125 hasConceptScore W2005164125C9376300 @default.
• W2005164125 hasConceptScore W2005164125C99636146 @default.
• W2005164125 hasIssue "8" @default.

• next